Radjavi's trace condition for triangularizability

DOI10.1016/0021-8693(87)90172-4zbMath0626.47019OpenAlexW2010205360MaRDI QIDQ580684

Donald W. Hadwin

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90172-4

zbMATH Keywords

extensions of triangularizability conditionsRadjavi's commuting trace conditiontriangularizability for a semigroup of finite rank transformations on a possibly infinite-dimensional vector spacetriangularizability of a norm closed algebra of compact operators on a Hilbert space

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Groups and semigroups of linear operators (47D03) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66) Ideals and subalgebras (46H10)

Related Items

On algebras of polynomially compact operators ⋮ Triangularization of Matrices and Polynomial Maps ⋮ Matrix algebras and Radjavi's trace condition ⋮ Triangularizability of families of polynomially compact operators

Cites Work

• On transitive and reductive operator algebras
• Super-Diagonal Forms for Compact Linear Operators
• A Trace Condition Equivalent to Simultaneous Triangularizability
• Triangularizable Algebras of Compact Operators
• Shorter Notes: The Nilpotency of Banach Nil Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item